基于max-product复合的模糊矩阵幂序列的收敛性

Convergence of Powers of a Fuzzy Matrix Under the Max-product Composition

主要证明了模糊矩阵在max-product复合意义下只有有限收敛,无限收敛,有限振荡及无限振荡这四种情况。

Convergence of the power sequence of an n × n fuzzy matrix under the max-product composition has been studied. It is shown that the powers of an n × n fuzzy matrix under the max-product composition either converge to an idempotent fuzzy matrix with a finite or infinite index, or oscillate with a finite or infinite period.